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MathGroup Archive 2007

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A Table-dimensioning problem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg74446] A Table-dimensioning problem
  • From: "Ray Koopman" <koopman at sfu.ca>
  • Date: Wed, 21 Mar 2007 02:56:38 -0500 (EST)

While attempting to create ragged arrays in connection with a recent
thread, I discovered a discontinuity in the way Table interprets a
random level-2 limit. When the level-1 limit (the number of rows)
is less than 250, the level-2 limit (the number of columns) is re-
evaluated for each row. When the level-1 limit is 250 or greater,
the level-2 limit is evaluated only once. All versions 5.x do this.
I don't know about 4, but 3.0 seems to always re-evaluate the limit.

In[1]:= rag[rows_,colrange_] := Table[ Random[],
                                {rows},{Random[Integer,colrange]}]

In[2]:= Length @ Union[ Length /@ rag[249,{1,99}] ]

Out[2]= 90

In[3]:= Length @ Union[ Length /@ rag[250,{1,99}] ]

Out[3]= 1



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